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          <div id="title">高等代数定义定理总结Index</div>
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          <div id="author-name" class="text">RUWU</div>
          <div id="share-time" class="text">2024-03-04</div>
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    <g transform="matrix(1,0,0,1,906.5,161.04)" ed:height="38.35" ed:layout="rightmap" id="122" ed:width="177" ed:parentid="101">
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            <tspan style="white-space:pre" y="27.4" x="17">第一章多项式</tspan>
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            <tspan style="white-space:pre" y="27.4" x="17">第三章线性方程组</tspan>
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    <g transform="matrix(1,0,0,1,906.5,471.14)" ed:height="38.35" ed:layout="rightmap" id="147" ed:width="177" ed:parentid="101">
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            <tspan style="white-space:pre" y="27.4" x="17">第二章行列式</tspan>
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    <g transform="matrix(1,0,0,1,1118.6,28.64)" ed:height="28.95" ed:layout="rightmap" id="151" ed:width="53.2" ed:parentid="122">
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            <tspan style="white-space:pre" y="21.4" x="8">数域</tspan>
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            <tspan style="white-space:pre" y="21.4" x="8">引言</tspan>
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            <tspan style="white-space:pre" y="21.4" x="8">n阶行列式</tspan>
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            <tspan style="white-space:pre" y="21.4" x="8">n维向量空间</tspan>
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    <g transform="matrix(1,0,0,1,1158.6,755.19)" ed:height="28.95" ed:layout="rightmap" id="181" ed:width="88.40000000000001" ed:parentid="139">
        <path d="M0,28.9L88.4,28.9" fill="none" stroke-linejoin="round" stroke="#ffcd55" stroke-width="2"/>
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            <tspan style="white-space:pre" y="21.4" x="8">矩阵的秩</tspan>
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            <tspan style="white-space:pre" y="27.4" x="17">第四章矩阵</tspan>
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        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
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            <tspan style="white-space:pre" y="21.4" x="8">一元多项式</tspan>
        </text>
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    <g transform="matrix(1,0,0,1,1118.6,99.54)" ed:height="28.95" ed:layout="rightmap" id="161" ed:width="106" ed:parentid="122">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">整除的概念</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,134.99)" ed:height="28.95" ed:layout="rightmap" id="163" ed:width="106" ed:parentid="122">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">最大公因式</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,170.44)" ed:height="28.95" ed:layout="rightmap" id="173" ed:width="123.6" ed:parentid="122">
        <path d="M0,28.9L123.6,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">因式分解定理</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,205.89)" ed:height="28.95" ed:layout="rightmap" id="227" ed:width="70.8" ed:parentid="122">
        <path d="M0,28.9L70.8,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">重因式</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,480.54)" ed:height="28.95" ed:layout="rightmap" id="231" ed:width="150" ed:parentid="147">
        <path d="M0,28.9L150,28.9" fill="none" stroke-linejoin="round" stroke="#5fb7f1" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">n阶行列式的性质</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,515.99)" ed:height="28.95" ed:layout="rightmap" id="233" ed:width="123.6" ed:parentid="147">
        <path d="M0,28.9L123.6,28.9" fill="none" stroke-linejoin="round" stroke="#5fb7f1" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">行列式的计算</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1158.6,719.74)" ed:height="28.95" ed:layout="rightmap" id="237" ed:width="106" ed:parentid="139">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#ffcd55" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性相关性</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,241.34)" ed:height="28.95" ed:layout="rightmap" id="239" ed:width="106" ed:parentid="122">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">多项式函数</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,276.79)" ed:height="28.95" ed:layout="rightmap" id="241" ed:width="282" ed:parentid="122">
        <path d="M0,28.9L282,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">复系数与实系数多项式的因式分解</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,312.24)" ed:height="28.95" ed:layout="rightmap" id="243" ed:width="141.2" ed:parentid="122">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#ff7575" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">有理系数多项式</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,551.44)" ed:height="28.95" ed:layout="rightmap" id="251" ed:width="186" ed:parentid="147">
        <path d="M0,28.9L186,28.9" fill="none" stroke-linejoin="round" stroke="#5fb7f1" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">行列式按一行(列)展开</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,586.89)" ed:height="28.95" ed:layout="rightmap" id="253" ed:width="166" ed:parentid="147">
        <path d="M0,28.9L166,28.9" fill="none" stroke-linejoin="round" stroke="#5fb7f1" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">克拉默(Cramer)法则</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1158.6,790.64)" ed:height="28.95" ed:layout="rightmap" id="255" ed:width="211.6" ed:parentid="139">
        <path d="M0,28.9L211.6,28.9" fill="none" stroke-linejoin="round" stroke="#ffcd55" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性方程组有解判别定理</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1158.6,826.09)" ed:height="28.95" ed:layout="rightmap" id="257" ed:width="176.4" ed:parentid="139">
        <path d="M0,28.9L176.4,28.9" fill="none" stroke-linejoin="round" stroke="#ffcd55" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性方程组解的结构</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1077.6,895.04)" ed:height="31.35" ed:layout="rightmap" id="263" ed:width="496.6" ed:parentid="157">
        <path d="M0,0L496.6,0L496.6,31.4L0,31.4L0,0z" fill="#ffc000"/>
        <path d="M0,31.4L496.6,31.4" fill="none" stroke-linejoin="round" stroke="#f1a3dc" stroke-width="2"/>
        <text class="st23">
            <tspan style="white-space:pre" y="23.8" x="8">这章未整理笔记，可看丘维声老师网课版本的笔记</tspan>
        </text>
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            <use transform="translate(472,7)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,286.3,462.5)" ed:height="38.35" ed:layout="leftmap" id="265" ed:width="197" ed:parentid="101">
        <path d="M0,38.4L197,38.4" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st20">
            <tspan style="white-space:pre" y="27.4" x="17">第七章线性变换</tspan>
        </text>
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            <use transform="translate(164,11)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,286.3,134.68)" ed:height="38.35" ed:layout="leftmap" id="267" ed:width="197" ed:parentid="101">
        <path d="M0,38.4L197,38.4" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st20">
            <tspan style="white-space:pre" y="27.4" x="17">第六章线性空间</tspan>
        </text>
        <g ed:hyperlink="[&#xa;    {&#xa;        &quot;desc&quot;: &quot;&quot;,&#xa;        &quot;link&quot;: &quot;https://kdocs.cn/l/ceDtwj1P6rl8&quot;&#xa;    }&#xa;]&#xa;">
            <use transform="translate(164,11)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,906.5,1003.16)" ed:height="38.35" ed:layout="rightmap" id="269" ed:width="177" ed:parentid="101">
        <path d="M0,38.4L177,38.4" fill="none" stroke-linejoin="round" stroke="#6cc9e5" stroke-width="2"/>
        <text class="st20">
            <tspan style="white-space:pre" y="27.4" x="17">第五章二次型</tspan>
        </text>
        <g ed:hyperlink="[&#xa;    {&#xa;        &quot;desc&quot;: &quot;&quot;,&#xa;        &quot;link&quot;: &quot;https://kdocs.cn/l/ca1XFjZxNtlq&quot;&#xa;    }&#xa;]&#xa;">
            <use transform="translate(144,11)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,959.39)" ed:height="28.95" ed:layout="rightmap" id="271" ed:width="176.4" ed:parentid="269">
        <path d="M0,28.9L176.4,28.9" fill="none" stroke-linejoin="round" stroke="#6cc9e5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">二次型及其矩阵表示</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,994.84)" ed:height="28.95" ed:layout="rightmap" id="277" ed:width="70.8" ed:parentid="269">
        <path d="M0,28.9L70.8,28.9" fill="none" stroke-linejoin="round" stroke="#6cc9e5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">标准形</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,1030.29)" ed:height="28.95" ed:layout="rightmap" id="279" ed:width="70.8" ed:parentid="269">
        <path d="M0,28.9L70.8,28.9" fill="none" stroke-linejoin="round" stroke="#6cc9e5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">唯一性</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,1118.6,1065.74)" ed:height="28.95" ed:layout="rightmap" id="281" ed:width="106" ed:parentid="269">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#6cc9e5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">正定二次型</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,145.2,20)" ed:height="28.95" ed:layout="leftmap" id="293" ed:width="106" ed:parentid="267">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">集合·映射</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,92.4,126.35)" ed:height="28.95" ed:layout="leftmap" id="295" ed:width="158.8" ed:parentid="267">
        <path d="M0,28.9L158.8,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">基变换与坐标变换</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,110,268.15)" ed:height="28.95" ed:layout="leftmap" id="297" ed:width="141.2" ed:parentid="267">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性空间的同构</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,22,55.45)" ed:height="28.95" ed:layout="leftmap" id="299" ed:width="229.2" ed:parentid="267">
        <path d="M0,28.9L229.2,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性空间的定义与简单性质</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,110,90.9)" ed:height="28.95" ed:layout="leftmap" id="301" ed:width="141.2" ed:parentid="267">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">维数·基与坐标</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,145.2,161.8)" ed:height="28.95" ed:layout="leftmap" id="303" ed:width="106" ed:parentid="267">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性子空间</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,110,197.25)" ed:height="28.95" ed:layout="leftmap" id="305" ed:width="141.2" ed:parentid="267">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">子空间的交与和</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,127.6,232.7)" ed:height="28.95" ed:layout="leftmap" id="307" ed:width="123.6" ed:parentid="267">
        <path d="M0,28.9L123.6,28.9" fill="none" stroke-linejoin="round" stroke="#58d5d5" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">子空间的直和</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,311.1,772.6)" ed:height="38.35" ed:layout="leftmap" id="309" ed:width="172.2" ed:parentid="101">
        <path d="M0,38.4L172.2,38.4" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st20">
            <tspan style="white-space:pre" y="27.4" x="17">第八章λ-矩阵</tspan>
        </text>
        <g ed:hyperlink="[&#xa;    {&#xa;        &quot;desc&quot;: &quot;&quot;,&#xa;        &quot;link&quot;: &quot;https://kdocs.cn/l/cub00kooxruR&quot;&#xa;    }&#xa;]&#xa;">
            <use transform="translate(139,11)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,246.3,1029.53)" ed:height="38.35" ed:layout="leftmap" id="311" ed:width="237" ed:parentid="101">
        <path d="M0,38.4L237,38.4" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
        <text class="st20">
            <tspan style="white-space:pre" y="27.4" x="17">第九章欧几里得空间</tspan>
        </text>
        <g ed:hyperlink="[&#xa;    {&#xa;        &quot;desc&quot;: &quot;&quot;,&#xa;        &quot;link&quot;: &quot;https://kdocs.cn/l/ciKAO81RFTEE&quot;&#xa;    }&#xa;]&#xa;">
            <use transform="translate(204,11)" xlink:href="#imghyperlink"/>
        </g>
    </g>
    <g transform="matrix(1,0,0,1,110,330.1)" ed:height="28.95" ed:layout="leftmap" id="313" ed:width="141.2" ed:parentid="265">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性变换的定义</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,110,365.55)" ed:height="28.95" ed:layout="leftmap" id="317" ed:width="141.2" ed:parentid="265">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性变换的运算</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,110,401)" ed:height="28.95" ed:layout="leftmap" id="319" ed:width="141.2" ed:parentid="265">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性变换的矩阵</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,92.4,436.45)" ed:height="28.95" ed:layout="leftmap" id="321" ed:width="158.8" ed:parentid="265">
        <path d="M0,28.9L158.8,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">特征值与特征向量</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,162.8,471.9)" ed:height="28.95" ed:layout="leftmap" id="323" ed:width="88.40000000000001" ed:parentid="265">
        <path d="M0,28.9L88.4,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">对角矩阵</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,74.8,507.35)" ed:height="28.95" ed:layout="leftmap" id="325" ed:width="176.4" ed:parentid="265">
        <path d="M0,28.9L176.4,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">线性变换的值域与核</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,145.2,542.8)" ed:height="28.95" ed:layout="leftmap" id="327" ed:width="106" ed:parentid="265">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">不变子空间</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,38,578.25)" ed:height="28.95" ed:layout="leftmap" id="329" ed:width="213.2" ed:parentid="265">
        <path d="M0,28.9L213.2,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">若尔当(Jordan)标准形介绍</tspan>
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    <g transform="matrix(1,0,0,1,145.2,613.7)" ed:height="28.95" ed:layout="leftmap" id="333" ed:width="106" ed:parentid="265">
        <path d="M0,28.9L106,28.9" fill="none" stroke-linejoin="round" stroke="#a98ae7" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">最小多项式</tspan>
        </text>
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    <g transform="matrix(1,0,0,1,210,675.65)" ed:height="28.95" ed:layout="leftmap" id="335" ed:width="66" ed:parentid="309">
        <path d="M0,28.9L66,28.9" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">λ-矩阵</tspan>
        </text>
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    <g transform="matrix(1,0,0,1,34,711.1)" ed:height="28.95" ed:layout="leftmap" id="339" ed:width="242" ed:parentid="309">
        <path d="M0,28.9L242,28.9" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">λ-矩阵在初等变换下的标准型</tspan>
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    <g transform="matrix(1,0,0,1,187.6,746.55)" ed:height="28.95" ed:layout="leftmap" id="341" ed:width="88.40000000000001" ed:parentid="309">
        <path d="M0,28.9L88.4,28.9" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">不变因子</tspan>
        </text>
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    <g transform="matrix(1,0,0,1,134.8,782)" ed:height="28.95" ed:layout="leftmap" id="343" ed:width="141.2" ed:parentid="309">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">矩阵相似的条件</tspan>
        </text>
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        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">初等因子</tspan>
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    <g transform="matrix(1,0,0,1,64.4,852.9)" ed:height="28.95" ed:layout="leftmap" id="347" ed:width="211.6" ed:parentid="309">
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        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">若尔当标准形的理论推导</tspan>
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    <g transform="matrix(1,0,0,1,117.2,888.35)" ed:height="28.95" ed:layout="leftmap" id="349" ed:width="158.8" ed:parentid="309">
        <path d="M0,28.9L158.8,28.9" fill="none" stroke-linejoin="round" stroke="#fa8556" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">矩阵的有理标准形</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,70,950.3)" ed:height="28.95" ed:layout="leftmap" id="351" ed:width="141.2" ed:parentid="311">
        <path d="M0,28.9L141.2,28.9" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">定义与基本性质</tspan>
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    <g transform="matrix(1,0,0,1,104.4,985.75)" ed:height="28.95" ed:layout="leftmap" id="353" ed:width="106.8" ed:parentid="311">
        <path d="M0,28.9L106.8,28.9" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
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            <tspan style="white-space:pre" y="21.4" x="8">标准正交基</tspan>
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    <g transform="matrix(1,0,0,1,158,1021.2)" ed:height="28.95" ed:layout="leftmap" id="355" ed:width="53.2" ed:parentid="311">
        <path d="M0,28.9L53.2,28.9" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">同构</tspan>
        </text>
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    <g transform="matrix(1,0,0,1,122.8,1056.65)" ed:height="28.95" ed:layout="leftmap" id="357" ed:width="88.40000000000001" ed:parentid="311">
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        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">正交变换</tspan>
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    <g transform="matrix(1,0,0,1,140.4,1092.1)" ed:height="28.95" ed:layout="leftmap" id="359" ed:width="70.8" ed:parentid="311">
        <path d="M0,28.9L70.8,28.9" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">子空间</tspan>
        </text>
    </g>
    <g transform="matrix(1,0,0,1,34.8,1127.55)" ed:height="28.95" ed:layout="leftmap" id="361" ed:width="176.4" ed:parentid="311">
        <path d="M0,28.9L176.4,28.9" fill="none" stroke-linejoin="round" stroke="#80cf70" stroke-width="2"/>
        <text class="st22">
            <tspan style="white-space:pre" y="21.4" x="8">实对称矩阵的标准形</tspan>
        </text>
    </g>
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</div>
        <div id="copyright">Created With  <a href="https://www.edrawsoft.com/" target="_blank" title="edrawsoft">MindMaster</a></div>
      </div>
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                popupR.setAttribute('height', offy.toString());
                popupR.setAttribute('width', '16');
                popupR.setAttribute('y', (-offy).toString());
                popupR.setAttribute('fill', 'transparent');
                popup.appendChild(popupR);
            }
        }
        var al = a.length;
        for (var j = 0; j < al; j++) {
            linkarr.push(a[j].link);
            descarr.push(a[j].desc);
        }
        popup.setAttribute('transform', trstr);
        var max = getmaxlen(linkarr, descarr);
        for (var k = 0; k < al; k++) {
            var c = document.createElementNS('http://www.w3.org/2000/svg', 'a');
            var d = document.createElementNS('http://www.w3.org/2000/svg', 'rect');
            var e = document.createElementNS('http://www.w3.org/2000/svg', 'text');
            var f = document.createElementNS('http://www.w3.org/2000/svg', 'text');
            if (isNaN(linkarr[k])) {
                c.setAttributeNS("http://www.w3.org/2000/svg", "xlink", "http://www.w3.org/1999/xlink");
                c.setAttributeNS("http://www.w3.org/1999/xlink", "href", linkarr[k]);
                c.setAttribute('target', '_blank');
                e.textContent = linkarr[k];
            } else {
                e.textContent = 'Page-' + linkarr[k];
                c.setAttributeNS("http://www.w3.org/2000/svg", "xlink", "http://www.w3.org/1999/xlink");
                c.setAttributeNS("http://www.w3.org/1999/xlink", "href", "#" + linkarr[k]);
            }
            d.setAttribute('width', max + 10);
            d.setAttribute('height', '33');
            d.setAttribute('stroke', '#999999');
            d.setAttribute('fill', 'white');
            d.setAttribute('y', 33 * k);
            f.textContent = descarr[k];
            f.style.fontSize = '12px';
            f.style.fontWeight = 'bold';
            f.setAttribute('x', 5);
            f.setAttribute('y', 33 * k + 12);
            e.style.fontSize = '12px';
            e.setAttribute('y', 33 * k + 28);
            e.setAttribute('x', 5);
            c.appendChild(d);
            c.appendChild(f);
            c.appendChild(e);
            c.onmouseover = function () {
                this.querySelector('rect').style.fill = '#e1e1ff'
            };
            c.onmouseout = function () {
                this.querySelector('rect').style.fill = 'white'
            };
            popup.appendChild(c);
        }
        popup.style.display = 'none';
        popup.setAttribute('hyperlink', '');
        popup.setAttribute('ed:linkid', links[i].parentNode.parentNode.id + "," + links[i].parentNode.id);
        popup.onmouseover = function () {
            this.style.display = 'block';
        };
        popup.onclick = function () {
            this.style.display = 'none';
        };
        popup.onmouseout = function () {
            this.style.display = 'none';
        };
        document.querySelector('#svg-container > svg:nth-child(' + index + ')').appendChild(popup);
        links[i].onmouseover = function () {
            var linkid = this.parentNode.parentNode.id + "," + this.parentNode.id;
            this.querySelector('rect').style.display = 'block';
            document.querySelector("g[ed\\:linkid='" + linkid + "'][hyperlink]").style.display = 'block';
            // popup.style.display = 'block';
        }
        links[i].onmouseout = function () {
            // var linkid = this.parentNode.id;
            var linkid = this.parentNode.parentNode.id + "," + this.parentNode.id;
            this.querySelector('rect').style.display = 'none';
            document.querySelector("g[ed\\:linkid='" + linkid + "'][hyperlink]").style.display = 'none';
            // popup.style.display = 'none';
        }
    }
}

//--hyperlink
//initialize--
var shape = document.querySelectorAll('g[ed\\:togtopicid]');
var mId = document.querySelectorAll('g[ed\\:topictype]');
var dataTree = {};
var extraRela = {};
var checkID = '';
for (var i = 0; i < mId.length; i++) {
    var type = mId[i].getAttribute('ed:topictype');
    var sid = mId[i].id;
    if (type !== 'callout') {
        init(sid, dataTree)
    }
}
function init(id, obj) {
    var childs = document.querySelectorAll("g[ed\\:parentid='" + id + "']:not([ed\\:topictype])");
    var calls = document.querySelectorAll("g[ed\\:parentid='" + id + "'][ed\\:topictype]");
    var summary = document.querySelectorAll("path[ed\\:parentid*='" + id + "'][ed\\:type='summary']");
    var boundary = document.querySelectorAll("path[ed\\:parentid*='" + id + "'][ed\\:type='boundary']");
    var relafrom = document.querySelectorAll("g[ed\\:fromid*='" + id + "'][ed\\:type='relation']");
    var relato = document.querySelectorAll("g[ed\\:toid*='" + id + "'][ed\\:type='relation']");
    obj["m" + id] = {};
    var type = document.getElementById(id).getAttribute('ed:topictype');
    var iw = document.getElementById(id).getAttribute('ed:width');
    var ih = document.getElementById(id).getAttribute('ed:height');
    if (type) {
        obj["m" + id].type = type;
    }
    if (iw && ih) {
        obj["m" + id].width = iw;
        obj["m" + id].height = ih;
    }
    if (relafrom.length !== 0) {
        obj["m" + id].relafrom = {};
        for (var i = 0; i < relafrom.length; i++) {
            var indexid = relafrom[i].id;
            var toid = document.getElementById(indexid).getAttribute('ed:toid');
            if (extraRela[indexid] === undefined) {
                extraRela[indexid] = {
                    id: indexid,
                    fromid: id,
                    toid: toid,
                    isC: false
                };
            }
            obj["m" + id].relafrom[indexid] = {};
            obj["m" + id].relafrom.display = document.getElementById(id).style.display !== 'none' ? 'block' : 'none';
        }
    }
    if (relato.length !== 0) {
        obj["m" + id].relato = {};
        for (var i = 0; i < relato.length; i++) {
            var indexid = relato[i].id;
            var fromid = document.getElementById(indexid).getAttribute('ed:fromid');
            if (extraRela[indexid] === undefined) {
                extraRela[indexid] = {
                    id: indexid,
                    fromid: fromid,
                    toid: id,
                    isC: false
                };
            }
            obj["m" + id].relato[indexid] = {};
            obj["m" + id].relato.display = document.getElementById(id).style.display !== 'none' ? 'block' : 'none';
        }
    }
    if (childs.length !== 0) {
        obj["m" + id].child = {};
        if (document.querySelector("g[ed\\:togtopicid='" + id + "']")) {
            // console.log(document.querySelector("g[ed\\:togtopicid='" + id + "']").childNodes[0].getAttribute('xlink:href'));
            var tog = document.querySelector("g[ed\\:togtopicid='" + id + "']").getElementsByTagName('use')[0].getAttribute('xlink:href').slice(1);
            obj["m" + id].togtype = tog;
        }
        for (var i = 0; i < childs.length; i++) {
            var cid = childs[i].id;
            init(cid, obj["m" + id].child);
        }
    }
    if (calls.length !== 0) {
        obj["m" + id].call = {};
        for (var i = 0; i < calls.length; i++) {
            var cid = calls[i].id;
            init(cid, obj["m" + id].call);
        }
    }
    if (boundary.length !== 0) {
        obj["m" + id].boundary = {};
        for (var i = 0; i < boundary.length; i++) {
            var cid = boundary[i].id;
            init(cid, obj["m" + id].boundary);
        }
    }
    if (summary.length !== 0) {
        obj["m" + id].summary = {};
        for (var i = 0; i < summary.length; i++) {
            var cid = summary[i].id;
            init(cid, obj["m" + id].summary);
        }
    }
}
//--initialize
//toggledisplay--
var chainArr = [];
function getchain(id) {
    chainArr.unshift('m' + id);
    var parent = document.getElementById(id).getAttribute('ed:parentid');
    if (!parent) {
        return;
    }
    if (parent.match(/\,/)) {
        parent = parent.match(/\d+(?=\,)/)[0]
    }
    getchain(parent);
}
function getobj(id) {
    chainArr = [];
    getchain(id);
    var main = chainArr[0];
    if (chainArr.length > 1) {
        var obj = dataTree[main];
        // console.log(chainArr);
        for (var i = 1; i < chainArr.length; i++) {
            var a = chainArr[i];
            for (var j = 0; j < Object.keys(obj).length; j++) {
                var cobj = obj[Object.keys(obj)[j]][a];
                if (cobj) {
                    obj = cobj;
                    continue
                }
            }
        }
        return obj
    } else {
        var obj = dataTree[main];
        return obj
    }

}
for (var i = 0; i < shape.length; i++) {
    shape[i].onclick = function () {
        var id = Number(this.getAttribute('ed:togtopicid'));
        var obj = getobj(id);

        var type = obj.togtype === 'minus' ? 'plus' : 'minus';
        var display = obj.togtype === 'minus' ? 'none' : 'block';
        this.getElementsByTagName('use')[0].setAttribute('xlink:href', '#' + type);
        obj.togtype = type;
        checkID = obj;

        utd(obj, id, display);
        extraRelaFin();
    }
}
function utd(obj, id, show, oc) {

    var pshow = document.getElementById(id).style.display !== 'none' ? 'block' : 'none';
    if (obj.relafrom) {
        if (obj.relafrom.display !== pshow) {
            var relafroms = Object.keys(obj.relafrom);
            relafroms.splice(relafroms.indexOf('display'), 1);
            for (var k = 0; k < relafroms.length; k++) {
                var d = relafroms[k];
                extraRela[d].isC = true;
            }
            obj.relafrom.display = pshow;
        }
    }
    if (obj.relato) {
        if (obj.relato.display !== pshow) {
            var relatos = Object.keys(obj.relato);
            relatos.splice(relatos.indexOf('display'), 1);
            for (var k = 0; k < relatos.length; k++) {
                var d = relatos[k];
                extraRela[d].isC = true;
            }
            obj.relato.display = pshow;
        }
    }
    if (obj.call) {
        var calls = Object.keys(obj.call);
        if (checkID !== obj) {
            for (var i = 0; i < calls.length; i++) {
                var a = calls[i].slice(1);
                var b = obj.call[calls[i]];
                var c = b.togtype;
                document.getElementById(a).style.display = show;
                if (b.relafrom && !c) {
                    if (b.relafrom.display !== show) {
                        var relafroms = Object.keys(b.relafrom);
                        relafroms.splice(relafroms.indexOf('display'), 1);
                        for (var k = 0; k < relafroms.length; k++) {
                            var d = relafroms[k];
                            extraRela[d].isC = true;
                        }
                        b.relafrom.display = show;
                    }
                }
                if (b.relato && !c) {
                    if (b.relato.display !== show) {
                        var relatos = Object.keys(b.relato);
                        relatos.splice(relatos.indexOf('display'), 1);
                        for (var k = 0; k < relatos.length; k++) {
                            var d = relatos[k];
                            extraRela[d].isC = true;
                        }
                        b.relato.display = show;
                    }
                }
                if (c) {
                    document.querySelector("g[ed\\:togtopicid='" + a + "']").style.display = show;
                    if (c === 'minus') {
                        utd(b, a, show)
                    }
                    if ((b.call || b.boundary || b.summary) && c === 'plus') {
                        utd(b, a, show, true)
                    }
                }
                if (b.call && !c) {
                    utd(b, a, show, true)
                }
                if (b.summary && !c) {
                    utd(b, a, show)
                }
                if (b.boundary && !c) {
                    utd(b, a, show)
                }

            }
        }
    }
    if (obj.summary) {
        var summarys = Object.keys(obj.summary);
        if ((checkID !== obj && (obj.togtype === 'minus' || !obj.togtype)) || checkID === obj) {
            for (var i = 0; i < summarys.length; i++) {
                var a = summarys[i].slice(1);
                var osp = document.getElementById(a).getAttribute('ed:parentid');
                if (osp.match(/\,/)) {
                    var ospa = osp.split(',');
                    var ospL = 0;

                    for (var j = 0; j < ospa.length; j++) {
                        if (show == 'none') {
                            if (document.getElementById(ospa[j]).style.display != 'none') {
                                break;
                            } else {
                                ospL++;
                            }
                        } else {
                            if (document.getElementById(a).style.display != 'none') {
                                break;
                            } else {
                                ospL++;
                            }
                        }

                    }
                    if (ospL !== ospa.length) {
                        continue;
                    }
                }
                var b = obj.summary[summarys[i]];
                // console.log(a);
                document.getElementById(a).style.display = show;
                //                if(c){
                //                    document.querySelector("g[ed\\:togtopicid='"+a+"']").style.display=show;
                //                    if(c==='minus'){
                //                        utd(b,show)
                //                    }
                //                    if (b.call&&c==='plus') {
                //                        utd(b,show,true)
                //                    }
                //                }
                //                if(b.call&&!c) {
                //                    utd(b,show,true)
                //                }
                if (Object.keys(b).length !== 0) {
                    utd(b, a, show)
                }
            }
        }
    }
    if (obj.boundary) {
        var boundarys = Object.keys(obj.boundary);
        if (checkID !== obj) {
            for (var i = 0; i < boundarys.length; i++) {
                var a = boundarys[i].slice(1);
                var b = obj.boundary[boundarys[i]];
                // console.log(a);
                document.getElementById(a).style.display = show;
                //                if(c){
                //                    document.querySelector("g[ed\\:togtopicid='"+a+"']").style.display=show;
                //                    if(c==='minus'){
                //                        utd(b,show)
                //                    }
                //                    if (b.call&&c==='plus') {
                //                        utd(b,show,true)
                //                    }
                //                }
                //                if(b.call&&!c) {
                //                    utd(b,show,true)
                //                }
                if (Object.keys(b).length !== 0) {
                    utd(b, a, show)
                }
            }
        }
    }
    if (!oc && obj.child) {
        var childs = Object.keys(obj.child);
        for (var i = 0; i < childs.length; i++) {
            var a = childs[i].slice(1);
            var b = obj.child[childs[i]];
            var c = b.togtype;
            document.getElementById(a).style.display = show;
            var tSPath = document.querySelector("path[ed\\:tosuperid='" + a + "']");
            if (tSPath) {
                tSPath.style.display = show;
            }
            var noteTip = document.querySelector("g[ed\\:noteto='" + a + "']");
            if (noteTip) {
                noteTip.style.display = show;
            }
            if (b.relafrom && !c) {
                if (b.relafrom.display !== show) {
                    var relafroms = Object.keys(b.relafrom);
                    relafroms.splice(relafroms.indexOf('display'), 1);
                    for (var k = 0; k < relafroms.length; k++) {
                        var d = relafroms[k];
                        extraRela[d].isC = true;
                    }
                    b.relafrom.display = show;
                }
            }
            if (b.relato && !c) {
                if (b.relato.display !== show) {
                    var relatos = Object.keys(b.relato);
                    relatos.splice(relatos.indexOf('display'), 1);
                    for (var k = 0; k < relatos.length; k++) {
                        var d = relatos[k];
                        extraRela[d].isC = true;
                    }
                    b.relato.display = show;
                }
            }
            if (c) {
                document.querySelector("g[ed\\:togtopicid='" + a + "']").style.display = show;
                if (c === 'minus') {
                    utd(b, a, show)
                }
                if ((b.call || b.boundary || b.summary) && c === 'plus') {
                    utd(b, a, show, true)
                }
            }
            if (b.call && !c) {
                utd(b, a, show, true)
            }
            if (b.summary && !c) {
                utd(b, a, show)
            }
            if (b.boundary && !c) {
                utd(b, a, show)
            }
        }
    }
}

function extraRelaFin() {
    var extrakeys = Object.keys(extraRela);
    for (var i = 0; i < extrakeys.length; i++) {
        var extraObj = extraRela[extrakeys[i]];
        if (extraObj.isC === true) {
            var fshow = document.getElementById(extraObj.fromid).style.display !== 'none' ? true : false;
            var tshow = document.getElementById(extraObj.toid).style.display !== 'none' ? true : false;
            document.getElementById(extraObj.id).style.display = fshow && tshow ? 'block' : 'none';
            extraRela[extrakeys[i]].isC = false;
        }
    }
}'))</script>
  </body>
</html>
